The Tate conjecture for cubic fourfolds over a finite field

被引：4

作者：

Levin, N ^{[1
]}

机构：

[1] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

COMPOSITIO MATHEMATICA | 2001年 / 127卷 / 01期

关键词：

Tate conjecture; algebraic cycles; canonical coordinates; period maps;

D O I：

10.1023/A:1017532821467

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Tate conjecture for codimension 2 cycles on an ordinary cubic fourfold over a finite field. The proof involves the construction of canonical coordinates on the formal deformation space via a crystalline period map.

引用

页码：1 / 21

页数：21

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